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4\times 3x=30-3x+2\times 2x
Multiply both sides of the equation by 6, the least common multiple of 3,2.
12x=30-3x+2\times 2x
Multiply 4 and 3 to get 12.
12x=30-3x+4x
Multiply 2 and 2 to get 4.
12x=30+x
Combine -3x and 4x to get x.
12x-x=30
Subtract x from both sides.
11x=30
Combine 12x and -x to get 11x.
x=\frac{30}{11}
Divide both sides by 11.